Examples of \(\mathsf {H}_n^G \in \mathbb {S}_{++}^\Theta \cap \mathbb {D}^\Theta \)  and \(\mathsf {H}_n^D \in \mathbb {S}_{++}^W \cap \mathbb {D}^W\)  satisfying Assumption REF  are listed in Table REF . By referring to the results in [1]}, [2]}, [3]}, we can check that \(\mathsf {H}_n^G\)  and \(\mathsf {H}_n^D\)  in Table REF  satisfy (A1) and (A2).
